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Finding the Third Proportional to 79,026 and 172,808

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Solution

The third proportional to 79,026 and 172,808 is: 377,883.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,026 : 172,808 = 172,808 : x
  2. Step 2: Convert to fraction form
    79,026/172,808 = 172,808/x
  3. Step 3: Cross multiply
    79,026x = 172,808 × 172,808
  4. Step 4: Simplify right side
    79,026x = 29,862,604,864
  5. Step 5: Solve for x
    x = 29,862,604,864/79,026
  6. Step 6: Final answer
    x = 377,883.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.